Front

What is the definition of a zero of a function?

Back

A zero of a function is a value of x for which the function f(x) = 0.

Front

What does multiplicity mean in the context of polynomial functions?

Back

Multiplicity refers to the number of times a particular root (zero) appears in a polynomial. A root with an even multiplicity touches the x-axis, while a root with an odd multiplicity crosses it.

Front

How do you find the inverse of a function?

Back

To find the inverse of a function, swap the x and y variables in the equation and solve for y.

Front

What is the formula for the length of an arc in a circle?

Back

Front

What are the steps to determine the zeros of a polynomial function?

Back

1. Set the polynomial equal to zero. 2. Factor the polynomial if possible. 3. Solve for x.

Front

What is the difference between a function and its inverse?

Back

A function takes an input and produces an output, while its inverse takes the output and produces the original input.

Front

What is the significance of the sine function in trigonometry?

Back

The sine function relates the angle of a right triangle to the ratio of the length of the opposite side to the hypotenuse.

Front

How do you identify the graph of a sine function?

Back

The graph of a sine function oscillates between -1 and 1, starting at (0,0) and has a periodic wave-like shape.

Front

What is the formula for the area of a triangle?

Back

Front

What is the relationship between the radius and the circumference of a circle?

Back